Finding the Third Proportional to 117.05 and 171.34

Step by Step Solution

1. Step 1: Write the proportion equation
   117.05 : 171.34 = 171.34 : x
2. Step 2: Convert to fraction form
   117.05/171.34 = 171.34/x
3. Step 3: Cross multiply
   117.05x = 171.34 × 171.34
4. Step 4: Simplify right side
   117.05x = 29,357.34
5. Step 5: Solve for x
   x = 29,357.34/117.05
6. Step 6: Final answer
   x = 250.82